Multiplicity of limit cycles that appear after perturbations of hyperbolic polycycles

Andrei Dukov

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arXiv · 2201.03652

Multiplicity of limit cycles that appear after perturbations of hyperbolic polycycles

Andrei Dukov

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Abstract

We consider the multiplicity of limit cycles that appear when a hyperbolic polycycle is perturbed. We prove, in particular, that if such unfolding happens in generic finite-parameter families, the multiplicity of every new limit cycle does not exceed the number of separatrix connections in the polycycle.

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Andrei Dukov. 2022-01-10. Multiplicity of limit cycles that appear after perturbations of hyperbolic polycycles. https://arxiv.org/abs/2201.03652

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